677624064 has 144 divisors (see below), whose sum is σ = 1973130432. Its totient is φ = 205185024.

The previous prime is 677624023. The next prime is 677624069. The reversal of 677624064 is 460426776.

It is a super-2 number, since 2×677624064² = 918348744223752192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (677624069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668422 + ... + 669434.

Almost surely, 2^677624064 is an apocalyptic number.

677624064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986565216).

677624064 is an abundant number, since it is smaller than the sum of its proper divisors (1295506368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

677624064 is a wasteful number, since it uses less digits than its factorization.

677624064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 677624064 is about 26031.2132640797. The cubic root of 677624064 is about 878.3405641916.

The spelling of 677624064 in words is "six hundred seventy-seven million, six hundred twenty-four thousand, sixty-four".